HatefulRundownPaint created by acwoss - https://repl.it/@acwoss/HatefulRundownPaint

main.py

from math import factorial, radians, isclose, sin

def seno(x, n=7):
    x = radians(x)

    def termo_geral(x, i):
        return ((-1)**i / factorial(2*i+1)) * (x**(2*i+1))

    def termos(x, n):
        for i in range(n):
            yield termo_geral(x, i)

    return sum(termos(x, n))

for angle in {0, 30, 45, 60, 90, 120, 180, 230, 270, 320, 360}:
    assert isclose(
        seno(angle, 21), 
        sin(radians(angle)), 
        abs_tol=1e-5
    )